please answer this it's really important
Answers
iv) Thus, the present age of Jane’s younger sister is 12 years.
And of Jane’s is 18 years.
v) Therefore the sides are = 24 cm,32, cm and 40 cm.
Step-by-step explanation:
iv) Let the age of Jane’s younger sister is x.
Age of Jane will be x + 6
As per the question, after 10 years the sum of their ages will be 50.
After 10 years,
age of Jane = x + 16
age of her younger sister = x + 10
Therefore,
x + 16 + x +10 = 50
2x + 26 = 50
2x = 24
x = 12
Thus, the present age of Jane’s younger sister is 12 years.
And of Jane’s is 12+6 = 18 years.
v) Hypotenuse^2 = base^2 + perpendicular^2
Therefore, the sides are in the ratio of
3 : 4 : 5
Sum of the ratios = 3 +4 +5 = 12
Perimeter of triangle = 96 cm
Therefore the sides are = (96*3/12), (96*4/12), (96*5/12) = 24 cm,32, cm and 40 cm.